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Finding the Fourth Proportional to 5,333, 7,360.62 and 3,095.36

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Solution

The fourth proportional to 5,333, 7,360.62 and 3,095.36 is: 4,272.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333 : 7,360.62 = 3,095.36 : x
  2. Step 2: Convert to fraction form
    5,333/7,360.62 = 3,095.36/x
  3. Step 3: Cross multiply
    5,333x = 7,360.62 × 3,095.36
  4. Step 4: Simplify right side
    5,333x = 22,783,768.72
  5. Step 5: Solve for x
    x = 22,783,768.72/5,333
  6. Step 6: Final answer
    x = 4,272.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.